L—fuzzy拓扑空间中的S—连通性与极不连通性

S-Connectedness and Extremally Disconnectedness of L—fuzzy Topological Spaces

本文引入了L—fuzzy S-通空间与L—fuzzy极不通空间的概念,讨论了它们的等价刻划及基本性质,证明了LF拓扑空间的S-通性是LF拓扑性质,LF拓扑空间的极不通性是LF拓扑性质。

In this paper, the concepts of L-fuzzy S-connected and extremally disconnectrd spaces are introduced and their equivalent characterizations and fundamental properties are discussed. It is proved that the S-connectedness of L-fuzzy topological spaces is L-fuzzy semi-topological property and that the extremally disconnectedness of L-fuzzy topological spaces is L-fuzzy topological property.